Name: Lyka B. Pajarillo 3BSF-A
Kruskal and Wallis Test
Learning activity
A study is designed to evaluate differences in albumin levels in adults following diets
with different amount of protein. Low protein diets are prescribed for patients with kidney
failure. Albumin is the most abundant protein in blood, and its concentration in the
serum is measured in grams per deciliter (g/dL). Clinically, serum albumin
concentrations are also used to assess whether patients gets sufficient protein in their
diets. Three diets are compared, ranging from 5% to 15% protein, and the 15% protein
diet represents a typical diet. The albumin levels of participants following each diet are
shown below.
5% Protein
3.1
2,.6
2.9
10% Protein
3.8
4.1
2.9
3.4
4.2
15% Protein
4.00
5.5
5.0
4.8
a. Perform analysis using Kruskal and Wallis Test
Ho: There are no differences in albumin levels among the amount of protein used.
Ha: There are differences in albumin levels among the amount of protein used.
5% Protein
rank
3.1
2.6
2.9
4
1
2.5
Total
n
Mean
8.6

rank
18.4
30.5
5
6.1
7.5
3
2.5
6
8
2.5
5
9
15%
Protein
4.0
5.5
5.0
4.8
rank
19.3
40
4
10
7
12
11
10
Compute for H-value
H=
H=
10%
Protein
3.8
4.1
2.9
3.4
4.2
[(
[(
H= 46.52
)(
)
(
)(
– 39
.
²
)] -3 (12+1)
)]
-39
H= 7.52

Compare H-value with tabular chi-square value
(df = n-1; 3-1= 2) at alpha 0.05 significance level
H= 7.52
Chi-square value (2) = 5.991**
/ 7.52 > 5.991
There is a strong evidence that Ho is rejected and Ha is accepted. This means that the
level of albumin in adults from the three different amount of proteins were differed
significantly.

Interpret the results
Since Ha is accepted, therefore, it indicates that the albumin levels in adults from the
three different amount of proteins used for the diets of patients that has a kidney failure
are differed significantly.